Author:
Wang JinRong,Zhu Chun,Fečkan Michal
Abstract
Abstract
In this paper, we investigate Abel-type nonlinear integral equations with weakly singular kernels. Existence and uniqueness of nontrivial solution are presented in an order interval of a cone by using fixed point methods. As a byproduct of our method, we improve a gap in the proof of Theorem 5 in Buckwar (Nonlinear Anal. TMA 63:88-96, 2005). As an extension, solutions in closed form of some Erdélyi-Kober-type fractional integral equations are given. Finally theoretical results with three illustrative examples are presented.
MSC:26A33, 45E10, 45G05.
Publisher
Springer Science and Business Media LLC
Subject
Algebra and Number Theory,Analysis
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